Home / 1,043.18-1,564.97-905.88

Finding the Fourth Proportional to 1,043.18, 1,564.97 and 905.88

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Solution

The fourth proportional to 1,043.18, 1,564.97 and 905.88 is: 1,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.18 : 1,564.97 = 905.88 : x
  2. Step 2: Convert to fraction form
    1,043.18/1,564.97 = 905.88/x
  3. Step 3: Cross multiply
    1,043.18x = 1,564.97 × 905.88
  4. Step 4: Simplify right side
    1,043.18x = 1,417,670.49
  5. Step 5: Solve for x
    x = 1,417,670.49/1,043.18
  6. Step 6: Final answer
    x = 1,359.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.